Hyperbolic groups have flat-rank at most 1

Title: Hyperbolic groups have flat-rank at most 1
Creator: Baumgartner, Udo; Möller, Rögnvaldur; Willis, George A.
Relation: ARC.DP0556017 & ARC. DP0984342 & ARC. LX0349209 http://purl.org/au-research/grants/arc/DP0984342
Relation: Israel Journal of Mathematics Vol. 190, Issue 1, p. 365-388
Publisher Link: http://dx.doi.org/10.1007/s11856-011-0191-5
Publisher: Magnes Press
Resource Type: journal article
Date: 2012
Description: The flat-rank of a totally disconnected, locally compact group G is an integer, which is an invariant of G as a topological group. We generalize the concept of hyperbolic groups to the topological context and show that a totally disconnected, locally compact, hyperbolic group has flat-rank at most 1. It follows that the simple totally disconnected locally compact groups constructed by Paulin and Haglund have flat-rank at most 1.
Subject: hyperbolic group; locally compact group; geometric group theory
Identifier: http://hdl.handle.net/1959.13/1057080
Identifier: uon:16130
Identifier: ISSN:0021-2172
Language: eng
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